λ
Sigma Notebook

8,505,173

727 × 11699
Deficient Odd Composite

8,505,173 is odd and not a perfect square. Its factorization is 727 × 11699 and its 4 divisors sum to 8,517,600.

Prime Factor Structure

Factorization String 727 × 11699
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,517,600
Proper Divisor Sum 12,427
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8505137 ← → #8505187

Radix Representation

Decimal 8505173
Binary 100000011100011101010101 (24 bits)
Octal 0o40343525
Hexadecimal 0x81C755

Divisor Catalog (4)

1 727 11,699 8,505,173

Collatz Trajectory (106 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,505,173 25,515,520 12,757,760 6,378,880 3,189,440 1,594,720 797,360 398,680 199,340 99,670 49,835 149,506 74,753 224,260 112,130 56,065 168,196 84,098 42,049 126,148 63,074 31,537 94,612 47,306 23,653 70,960 35,480 17,740 8,870 4,435 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996

More profiles

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